Pith Number

pith:OHCD7PV5

pith:2013:OHCD7PV54L5SP2KLQKECFX64DS

not attested not anchored not stored refs pending

Average Case and Distributional Analysis of Dual-Pivot Quicksort

Markus E. Nebel, Ralph Neininger, Sebastian Wild

arxiv:1304.0988 v3 · 2013-04-03 · cs.DS · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHCD7PV54L5SP2KLQKECFX64DS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:27:08.300795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71c43fbebde2fb27e94b828822dfdc1c9a45be423fb3b5d76c87f515bbb84c4f

Aliases

arxiv: 1304.0988 · arxiv_version: 1304.0988v3 · doi: 10.48550/arxiv.1304.0988 · pith_short_12: OHCD7PV54L5S · pith_short_16: OHCD7PV54L5SP2KL · pith_short_8: OHCD7PV5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OHCD7PV54L5SP2KLQKECFX64DS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 71c43fbebde2fb27e94b828822dfdc1c9a45be423fb3b5d76c87f515bbb84c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89bd3b3e37877003c3e9bc20720d5288f2997cdebcfa6ca2d958bbef5257d17",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-04-03T15:37:50Z",
    "title_canon_sha256": "4f4ecc13b6efaac3465b42d571233b36f27a6815e26a697221abbb83961aa0b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0988",
    "kind": "arxiv",
    "version": 3
  }
}